Least Common Multiple of 33858 and 33865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33858 and 33865 the smallest integer that is 1146601170 that is divisible by both numbers.

Least Common Multiple (LCM) of 33858 and 33865 is 1146601170.

LCM(33858,33865) = 1146601170

LCM of 33858 and 33865

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 33858 and 33865

LCM of 33858 and 33865 is 1146601170

Least common multiple can be found by multiplying the highest exponent prime factors of 33858 and 33865. First we will calculate the prime factors of 33858 and 33865.

Prime Factorization of 33858


2 33858
3 16929
3 5643
3 1881
3 627
11 209
19 19
1

Prime factors of 33858 are 2, 3, 11,19. Prime factorization of 33858 in exponential form is:

33858 = 21×34×111×191

Prime Factorization of 33865


5 33865
13 6773
521 521
1

Prime factors of 33865 are 5, 13,521. Prime factorization of 33865 in exponential form is:

33865 = 51×131×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 33858 and 33865.

LCM(33858,33865) = 21×34×51×111×131×191×5211
LCM(33858,33865) = 1146601170

Factors of 33858

List of positive integer factors of 33858 that divides 33858 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 81, 99, 114, 162, 171, 198, 209, 297, 342, 418, 513, 594, 627, 891, 1026, 1254, 1539, 1782, 1881, 3078, 3762, 5643, 11286, 16929, 33858

Factors of 33865

List of positive integer factors of 33865 that divides 33865 without a remainder.

1, 5, 13, 65, 521, 2605, 6773, 33865

Least Common Multiple of 33858 and 33865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33858 and 33865, than apply into the LCM equation.

GCF(33858,33865) = 1
LCM(33858,33865) = ( 33858 × 33865) / 1
LCM(33858,33865) = 1146601170 / 1
LCM(33858,33865) = 1146601170

Properties of LCM 33858 and 33865

(i) The LCM of 33865 and 33858 is associative

LCM of 33858 and 33865 = LCM of 33865 and 33858

Related Least Common Multiples of 33858

Related Least Common Multiples of 33865

Frequently Asked Questions on LCM of 33858 and 33865

1. What is the LCM of 33858 and 33865?

Answer: LCM of 33858 and 33865 is 1146601170.

2. What are the Factors of 33858?

Answer: Factors of 33858 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 81, 99, 114, 162, 171, 198, 209, 297, 342, 418, 513, 594, 627, 891, 1026, 1254, 1539, 1782, 1881, 3078, 3762, 5643, 11286, 16929, 33858. There are 40 integers that are factors of 33858. The greatest factor of 33858 is 33858.

3. What are the Factors of 33865?

Answer: Factors of 33865 are 1, 5, 13, 65, 521, 2605, 6773, 33865. There are 8 integers that are factors of 33865. The greatest factor of 33865 is 33865.

4. How to Find the LCM of 33858 and 33865?

Answer:

Least Common Multiple of 33858 and 33865 = 1146601170

Step 1: Find the prime factorization of 33858

33858 = 2 x 3 x 3 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 33865

33865 = 5 x 13 x 521

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1146601170 = 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 19 x 521

Step 4: Therefore, the least common multiple of 33858 and 33865 is 1146601170.